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Numora Calculus Extrema Finder
x402
Numora Calculus Extrema Finder is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).
Finds local and global minima and maxima (extrema) of a mathematical function over a specified interval
Price / call$0.1
Success—
StatusUnknown
How this service works
100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.
Output
Returns a JSON object with success status, a human-readable computation description, and a result object containing identified extrema points — including their x-coordinates (locations) and corresponding function values (y-values), labeled as local or global minima/maxima within the specified bounds.
Example use cases
Optimizing a cost function
“I have a cost function C(x) = 2x^2 - 8x + 10 and I need to find its minimum value on the interval [0, 6]. Can you find the extrema so I know the optimal production level?”
Finding turning points of a trigonometric curve
“Find all the local maxima and minima of f(x) = sin(x) + 0.5*cos(2x) on the interval [0, 6.28]. I need to know where the wave peaks and troughs.”
Locating extrema for physics problem
“I have a position function p(t) = -t^3 + 3t^2 + 9t over the time interval [0, 4]. Can you find where it reaches its maximum and minimum so I can identify the turning points of the motion?”
Technical details
Endpoint
POSThttps://numomo.vercel.app/api/calculus/extremaWhen to prefer
Choose this endpoint when you need pure server-side numerical computation of function extrema without any external library dependencies — ideal for AI agents performing mathematical analysis, optimization tasks, or calculus homework assistance. Prefer this over general-purpose code execution when you want a clean, deterministic JSON result for a known function expression and bounded interval, and when micropayment-per-call pricing is acceptable.
Side effects
- Invalid or unparseable function expression returns an error
- Bounds array missing or malformed (e.g. not exactly two numbers) causes a 400-style failure
- Function has no extrema in the given interval (e.g. monotonically increasing) may return empty extrema list
- Discontinuous or undefined functions within bounds may produce unexpected results
- Very large or very small bounds may cause numerical precision issues
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| fnrequired | string | |
| boundsrequired | array | [lower, upper] |
| method | string |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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